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Finding the Fourth Proportional to 1,050.00, 1,448.25 and 677.11

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Solution

The fourth proportional to 1,050.00, 1,448.25 and 677.11 is: 933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.00 : 1,448.25 = 677.11 : x
  2. Step 2: Convert to fraction form
    1,050.00/1,448.25 = 677.11/x
  3. Step 3: Cross multiply
    1,050.00x = 1,448.25 × 677.11
  4. Step 4: Simplify right side
    1,050.00x = 980,626.83
  5. Step 5: Solve for x
    x = 980,626.83/1,050.00
  6. Step 6: Final answer
    x = 933.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.